Fluid dynamics plays a crucial role in many cellular processes,
including the locomotion of cells such as bacteria and spermatozoa.
These organisms possess flagella, slender organelles whose time
periodic motion in a fluid environment gives rise to motility.
Sitting at the intersection of applied mathematics, physics and
biology, the fluid dynamics of cell motility is one of the most
successful applications of mathematical tools to the understanding
of the biological world. Based on courses taught over several
years, it details the mathematical modelling necessary to
understand cell motility in fluids, covering phenomena ranging from
single-cell motion to instabilities in cell populations. Each
chapter introduces mathematical models to rationalise experiments,
uses physical intuition to interpret mathematical results,
highlights the history of the field and discusses notable current
research questions. All mathematical derivations are included for
students new to the field, and end-of-chapter exercises help
consolidate understanding and practise applying the concepts.
General
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